Finding the Third Proportional to 165,654 and 258,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,654 : 258,322.50 = 258,322.50 : x
2. Step 2: Convert to fraction form
   165,654/258,322.50 = 258,322.50/x
3. Step 3: Cross multiply
   165,654x = 258,322.50 × 258,322.50
4. Step 4: Simplify right side
   165,654x = 66,730,514,006.25
5. Step 5: Solve for x
   x = 66,730,514,006.25/165,654
6. Step 6: Final answer
   x = 402,830.68